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Chapter 15
Chapter 15 
Mortgage 
Calculations
What would you rather 
have?
What would you rather 
have? 
1,000 in 5 years
What would you rather 
have? 
1,000 in 5 years 
or
What would you rather 
have? 
1,000 in 5 years 
or 
2,000 in 10 years?
What would you rather 
have?
What would you rather 
have? 
Years 
5 
10
What would you rather 
have? 
Years 
5 
10 
FV 
1,000 
2,000
What would you rather 
have? 
Years 
5 
10 
FV 
1,000 
2,000 
10% 
620.92 
771.09
What would you rather 
have? 
Years 
5 
10 
FV 
1,000 
2,000 
10% 
620.92 
771.09 
20% 
401.88 
323.01
What would you rather 
have? 
Years 
5 
10 
FV 
1,000 
2,000 
10% 
620.92 
771.09 
20% 
401.88 
323.01 
Depends on the 
discount rate
What would you rather 
have? 
Years 
5 
10 
FV 
1,000 
2,000 
10% 
620.92 
771.09 
20% 
401.88 
323.01 
Depends on the 
discount rate
What would you rather 
have? 
Years 
5 
10 
FV 
1,000 
2,000 
10% 
620.92 
771.09 
20% 
401.88 
323.01 
Depends on the 
discount rate
Five Characteristics
Five Characteristics 
payment amount & frequency
Five Characteristics 
payment amount & frequency 
loan balance
Five Characteristics 
payment amount & frequency 
loan balance 
lender’s yield (IRR)
Five Characteristics 
payment amount & frequency 
loan balance 
lender’s yield (IRR) 
effective borrowing cost
Five Characteristics 
payment amount & frequency 
loan balance 
lender’s yield (IRR) 
effective borrowing cost 
present value of the debt
Loan Balance
Loan Balance 
calculate the present value of 
the remaining payments
Loan Balance
Loan Balance 
100,000 at 30 years at 10%
Loan Balance 
100,000 at 30 years at 10% 
PMT 10,607
Loan Balance 
100,000 at 30 years at 10% 
PMT 10,607 
After 10 years?
Loan Balance 
100,000 at 30 years at 10% 
PMT 10,607 
After 10 years? 
20 years at 10% at 10,607
Loan Balance 
100,000 at 30 years at 10% 
PMT 10,607 
After 10 years? 
20 years at 10% at 10,607 
PV 90,303
Lender Yield (IRR)
Lender Yield (IRR) 
100,000 at 30 years at 10%
Lender Yield (IRR) 
100,000 at 30 years at 10% 
PMT 10,607
Lender Yield (IRR) 
100,000 at 30 years at 10% 
PMT 10,607 
Points 5,000
Lender Yield (IRR) 
100,000 at 30 years at 10% 
PMT 10,607 
Points 5,000 
95,000 at 30 years at 10,607
Lender Yield (IRR) 
100,000 at 30 years at 10% 
PMT 10,607 
Points 5,000 
95,000 at 30 years at 10,607 
i = 10.63%
Chapter 16
Chapter 16 
Commercial 
Mortgages
Commercial vs. 
Residential
Commercial vs. 
Residential 
more risk
Commercial vs. 
Residential 
more risk 
shorter terms
Commercial vs. 
Residential 
more risk 
shorter terms 
higher down LTV
Commercial vs. 
Residential 
more risk 
shorter terms 
higher down LTV 
non-recourse
Commercial Loans
Commercial Loans 
Construction Loan 
Permanent Loan
The Note
The Note 
payment amount and timing 
penalties for late payments 
insurance 
maintenance 
default
Interest Only
Interest Only 
pay only interest
Interest Only 
pay only interest 
pay principal balance at 
maturity
Interest Only 
pay only interest 
pay principal balance at 
maturity
Interest Only 
pay only interest 
pay principal balance at 
maturity 
“bullet loan”
Interest Only 
pay only interest 
pay principal balance at 
maturity 
“bullet loan”
Balloon Mortgage
Balloon Mortgage 
amortize over 25-30 years
Balloon Mortgage 
amortize over 25-30 years 
maturity 5-15 years
Balloon Mortgage 
amortize over 25-30 years 
maturity 5-15 years
Balloon Mortgage 
amortize over 25-30 years 
maturity 5-15 years 
must be prepared to payoff 
loan at maturity
Balloon Mortgage 
amortize over 25-30 years 
maturity 5-15 years 
must be prepared to payoff 
loan at maturity
Ratios
Ratios 
LTV - loan to value ratio 
loan Ă· value 
DCR - debt coverage ratio 
NOI Ă· debt service
DCR
DCR 
1.3 to 1.5
DCR 
1.3 to 1.5 
how much NOI is there 
available to make the debt 
payment?
DCR 
1.3 to 1.5 
how much NOI is there 
available to make the debt 
payment? 
cushion to cover
DCR 
1.3 to 1.5 
how much NOI is there 
available to make the debt 
payment? 
cushion to cover
Chapter 18
Chapter 18 
Investment Decision 
Ratios
Yield Analysis
Yield Analysis 
How can you improve yield? 
! 
Leverage
Two Elements
Two Elements 
Equity - owner
Two Elements 
Equity - owner 
Debt - lender
Yield Analysis
Yield Analysis 
Purchase Price 1,000,000
Yield Analysis 
Purchase Price 1,000,000 
NOI 100,000
Yield Analysis 
Purchase Price 1,000,000 
NOI 100,000 
Overall Rate 10.0%
Yield Analysis 
Purchase Price 1,000,000 
NOI 100,000 
Overall Rate 10.0% 
Loan 750,000
Yield Analysis 
Purchase Price 1,000,000 
NOI 100,000 
Overall Rate 10.0% 
Loan 750,000 
Years 30
Yield Analysis 
Purchase Price 1,000,000 
NOI 100,000 
Overall Rate 10.0% 
Loan 750,000 
Years 30 
Rate 8.0%
Yield Analysis 
Purchase Price 1,000,000 
NOI 100,000 
Overall Rate 10.0% 
Loan 750,000 
Years 30 
Rate 8.0% 
Payment 66,621
Yield Analysis
Yield Analysis
Yield Analysis 
Value
Yield Analysis 
Value NOI
Yield Analysis 
Value NOI Rate
Yield Analysis 
Total 
Value NOI Rate
Yield Analysis 
Value NOI Rate 
Total 1,000,000
Yield Analysis 
Value NOI Rate 
Total 1,000,000 100,000
Yield Analysis 
Value NOI Rate 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Debt 
Value NOI Rate 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Value NOI Rate 
Debt 750,000 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Value NOI Rate 
Debt 750,000 66,621 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Value NOI Rate 
Debt 750,000 66,621 8.9% 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Value NOI Rate 
Debt 750,000 66,621 8.9% 
Equity 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Value NOI Rate 
Debt 750,000 66,621 8.9% 
Equity 250,000 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Value NOI Rate 
Debt 750,000 66,621 8.9% 
Equity 250,000 33,379 
Total 1,000,000 100,000 10.0%
Yield Analysis 
Value NOI Rate 
Debt 750,000 66,621 8.9% 
Equity 250,000 33,379 13.4% 
Total 1,000,000 100,000 10.0%
Excel Yield Analysis
Effective Gross Income 
Multiplier
Effective Gross Income 
Multiplier 
Price Ă· EGI
Operating Expense 
Ratio
Operating Expense 
Ratio 
Expenses Ă· EGI

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